The Clebsch-Type Coordinate Systems

  • William Denis D’haeseleer
  • William Nicholas Guy Hitchon
  • James D. Callen
  • J. Leon Shohet
Part of the Springer Series in Computational Physics book series (SCIENTCOMP)

Abstract

The idea of a stream function (or flow function) is borrowed from hydrodynamic theory (see, e.g., Milne-Thomson (1968)). A stream function is any function that is constant along a stream line. In plasma physics, we are interested in stream functions for the magnetic field. Hence, in our context, a stream function is any function that is constant along afield line. In three-dimensional space, the equation Ф(u1, u2, u3) ≡ Ф(R) = constant represents a surface. A magnetic-field line can thus be identified with a curve lying at the intersection of two surfaces belonging to two different stream functions.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1991

Authors and Affiliations

  • William Denis D’haeseleer
    • 1
    • 2
  • William Nicholas Guy Hitchon
    • 3
  • James D. Callen
    • 4
  • J. Leon Shohet
    • 3
  1. 1.School of EngineeringKatholieke Universiteit LeuvenLeuvenBelgium
  2. 2.The NET TeamMax-Planck-Institut für PlasmaphysikGarching bei MünchenFed. Rep. of Germany
  3. 3.Department of Electrical and Computer EngineeringUniversity of Wisconsin-MadisonMadisonUSA
  4. 4.Departments of Nuclear Engineering & Engineering Physics and PhysicsUniversity of Wisconsin-MadisonMadisonUSA

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